Answer:
slope = 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 1, - 2) and (x₂, y₂ ) = (4, 3)
m =
=
= 1
Answer:
24.5
Step-by-step explanation:
Since 180 is double 90 divide 45 by 2 and you'll get 24.5
Answer: for 3) 427 hikers
Step-by-step explanation: b + 178 + b = 676
2b + 178 = 676
2b = 498
b = 249 bikers
h = 249 + 178 = 427 hikers
So to solve for an inequality, you must isolate the variable, in this case x, to one side.
Starting with 3.5x - 10 > -3, firstly add both sides by 10:
3.5x > 7
Next, divide both sides by 3.5 and your first half is:
x > 2
Next with 8x - 9 < 39, firstly add both sides by 9:
8x < 48
Next, divide both sides by 8 and your second half is:
x < 6
<u>Putting it together, your final answer is x > 2 and x < 6 or 2 < x < 6.</u>
Adult ticket costs= $46
Children ticket costs= $104
Let x represent the price of adult tickets
Let y represent the price of children tickets
x + y= 150.......equation 1
8x + 3y= 970........equation 2
From equation 1
x= 150 - y
substitute 150-y for x in equation 2
8(150-y) + 3y= 970
1200- 8y + 3y= 970
-8y + 3y= 970-1200
-5y= -230
y= 230/5
y= 46
From equation 1
x + y= 150
x + 46= 150
x= 150 - 46
x= 104
Hence the cost of children tickets is $104 and the cost of adult tickets is $46
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